Biology is in a unique position among the natural sciences. It is not simply complex physics and chemistry, for living organisms have a psychological as well as a physical side. Even as physical systems their character is highly special, largely because their material substance is continually changing; perhaps it was from them that Heraclitus derived his idea that all is flow. The comparison with vortexes and candle flames is an old one. Wilhelm Ostwald included living organisms in his class of “stationary systems”: they represent not a static but a kinetic equilibrium, what we now often call a “steady state”; there is a balance of constitutive and dissipative processes. Materials and energy converge to the living center, undergo there characteristic transformations, among which complex chemical and structural syntheses are conspicuous, and are again distributed at random to the surroundings. The living organism is thus the seat of a special type of physical and chemical activity found nowhere else in nature, and it is significant that this is associated with psychical activity—demonstrably in the higher organisms, by implication in the lower.

The term coherence is used in many connections. We often speak of coherent reasoning, coherent activities, coherent bodies, and coherent phenomena. In science this term is often used to indicate continuity of a structure in space and time. If many individuals can simultaneously observe similar sets of coherent phenomena, we infer with some justification, first, that the phenomena observed have some kind of correspondence with activities in an external world, that is, a world independent of the existence of the individual observers, and second, that the coherence itself is an attribute of the external world. In a recently published article, to which I shall make several references in this paper, I have called attention to the fact that the science of physics is based on the form and the changes in form of an immediately observed phenomenological world, called the physical world, which can be completely characterized as a structure in space and time. In his analysis of the foundations of the science of physics Eddington has clearly shown that theoretical physics deals exclusively with structures of the type described in the mathematical theory of groups, and that our knowledge of the physical world could have been reached by our sense of vision alone. Coherence in the physical world is that characteristic of the structure which describes the more or less permanent relationship between phenomena in different parts of space at approximately the same time, or a regular sequence in the changing phenomena at approximately the same region of space.

The statements traditionally labelled “necessary,” among them the valid theorems of mathematics and logic, are identified as “those whose truth is independent of experience.” The “truth” of a necessary statement has to be independent of the truth or falsity of experiential statements; a necessary statement can be neither confirmed nor refuted by empirical tests.

The admission of genuinely necessary statements presents the empiricist with a troublesome problem. For an empiricist may be defined, in terms of the current idiom, as one who adheres to some version, however “weak,” of a principle of verifiability. One, that is, who claims that no statement can have cognitive meaning unless its truth depends, however indirectly, upon the truth of experiential statements; unless it can be provisionally confirrned or refuted by empirical tests. Allowing that some necessary statements have cognitive meaning, then, would be to provide a prima facie case against the validity of the principle of verifiability.

As presented by some, operationalism in sociology is Kantian in its view of the universe, of the assumptions and limitations of science, and of the scientist's ability to analyse and present the reality of the universe.

In his exposition, George A. Lundberg rests operationalism upon a twofold basis. First there is a materially-conceived nature. This is expressed in the terms “X,” “the cosmos,” or “that which arouses certain responses.” We do not know, cannot know, nor can science tell us, anything about the nature of this X, save that it precipitates responses. This position is qualified by making existence always relative to some responding organism. There is nothing final in the terms “existence” or “reality,” such as is usually implied in the terms “truth” and “fact.” An objective reality existing entirely independently of anyone's observations is believed by Lundberg to be incompatible with his philosophical basis. The only justification for this position is “… its demonstrable efficiency in helping us comprehend our world.”

The word ‘social’ is used in many different contexts, in each of which the word has a general root meaning, common to all contexts in which it is found. But in addition, there are other specific meanings, peculiar to each context, which are intended by the user of the term. Frequently, these other meanings of the term are not made explicit, and hence ambiguities arise.

The root meaning of the term involves some sort of relationship among two or more people. ‘Social’ is derived from the Latin socius, meaning ‘companion’. At least two people are involved here: 1) the person having the companion, and 2) the companion. Nothing is intended as to the nature of the relationship between the two or more people. In each context in which the term ‘social’ is used it has this root meaning. This paper is concerned, however, with those other aspects of the meanings of the term which are intended to specify more precisely the nature of this relationship among two or more people, and therefore are different in different contexts. The contexts will be isolated, and the more specific meanings of the term in these different contexts will be distinguished and made explicit.

The primary purpose of the system of linear notation is to make the logic of the syllogism more convenient to use by eliminating many of the operations required by its traditional forms. Except for its employment of the distinction between symmetric and nonsymmetric relations and the distinction between transitive and nontransitive relations, linear notation introduces no new principles into syllogistic logic. It is new only as a system of notation. As a system of notation it radically simplifies the application of the principles of syllogistic logic to the analysis of arguments.

The use of linear notation enables us to state subject-predicate propositions in such a way that their formal relations with each other are revealed directly without the necessity of performing any of the separate operations required by the traditional methods of syllogistic logic. Very complex arguments, involving any number of related premises, can be stated in such form that all possible conclusions that are obtainable by any combination of syllogistic operations may be read directly from the premises.

In his presidential address on “Symbols, Signs, and Signals,” given before the Association for Symbolic Logic, December 28, 1938, Professor C. J. Ducasse made and important distinction between what he there called the indicative and the quiddative symbol. He remarked in passing that he thought it possible to show that: 1) “The same entity may function both as indicative and as quiddative symbol: or one part of a complex symbol may be quiddative and another indicative”; and 2) “the difference between the two roles is irreducible: the indicative is not a species of the quiddative nor vice versa.” An indicative symbol is defined as “one of which the distinctive property is to orient our attention to some place in an order system …”; and a quiddative symbol as “one of which the distinctive property is to make us conceive a certain kind of thing—a certain ‘what'—no matter where in any order system it may or may not be existing.”

Certain traditional philosophic contradictions, pertaining to a postulated duality between mind and body, which at the same time is used to explain their functional unity, have been translated in contemporary thought into terms of certain contradictions, pertaining to a postulated duality between psychological worlds and the physical world, which at the same time is used to explain how one or the other somehow constitutes its contrary. Nevertheless, however unsuccessful hitherto, the more modern formulation of these connections at least provides a field within which progressive logical operations towards a non-contradictory synthesis are possible. Recently such an approach was developed in J. T. Culbertson's article, “A Physical Theory of Sensation”, which appeared in the technical scientific section of this Journal, vol. 9, No. 2, pp. 197-226. The present discussion concerns some of the problems suggested by that theory, which was so stated that it could very easily be converted into a statement concerning the structure of relations between any given psychological world and the physical world.